Search a number
-
+
16253955081 = 32721324672
BaseRepresentation
bin11110010001100111…
…11010110000001001
31112221202200110200100
433020303322300021
5231242003030311
611244510400013
71113534224100
oct171063726011
945852613610
1016253955081
116990a30031
123197500009
1316c0581c00
14b0299b037
15651e5ba56
hex3c8cfac09

16253955081 has 81 divisors (see below), whose sum is σ = 29636984871. Its totient is φ = 8555156064.

The previous prime is 16253955079. The next prime is 16253955121. The reversal of 16253955081 is 18055935261.

The square root of 16253955081 is 127491.

It is a perfect power (a square), and thus also a powerful number.

16253955081 is a `hidden beast` number, since 1 + 6 + 2 + 53 + 95 + 508 + 1 = 666.

16253955081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2404431225 + 13849523856 = 49035^2 + 117684^2 .

It is not a de Polignac number, because 16253955081 - 21 = 16253955079 is a prime.

It is a super-2 number, since 2×162539550812 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16253955001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 34804810 + ... + 34805276.

Almost surely, 216253955081 is an apocalyptic number.

16253955081 is the 127491-st square number.

16253955081 is the 63746-th centered octagonal number.

It is an amenable number.

16253955081 is a deficient number, since it is larger than the sum of its proper divisors (13383029790).

16253955081 is an equidigital number, since it uses as much as digits as its factorization.

16253955081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 16253955081 in words is "sixteen billion, two hundred fifty-three million, nine hundred fifty-five thousand, eighty-one".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 169 273 441 467 507 637 819 1183 1401 1521 1911 3269 3549 4203 5733 6071 8281 9807 10647 18213 22883 24843 29421 42497 54639 68649 74529 78923 127491 205947 218089 236769 297479 382473 552461 654267 710307 892437 1526623 1657383 1962801 2677311 2835157 3867227 4579869 4972149 8505471 10686361 11601681 13739607 19846099 25516413 32059083 34805043 36857041 59538297 96177249 110571123 138922693 178614891 257999287 331713369 416768079 773997861 1250304237 1805995009 2321993583 5417985027 16253955081